Question 4 Given ZP L7, ZN = ZH, Zs = ZE, and the fact that the triangles are similar, write the similarity statement. O a triangle NPS - triangle HEZ triangle PNS- triangle ZHE Oc triangle SPN - triangle ZEH triangle NSP - triangle EZH

Classify as true or false: a If the vertex angles of two isosceles triangles are congruent, the triangles are similar. b Any two equilateral triangles are similar.

Show that there is no triangle for which a=4 feet, b=14 feet, and A=60.

A line segment joins the midpoints of two opposite sides of a rectangle as shown. What can you conclude regarding MN,AB,DCandMN,AB,DC?

a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.

a If mAB=88, then mACB=____________. b If mAB=92 and C is the midpoint of major are ACB, then mAC=_____________.

3. State the reason SSS, SAS, ASA, AAS, or HL why The triangles are congruent. Note the marks that indicate congruent parts. a RVSRTS b XMWMYZ

Determine whether ABC, with vertices A0,0,0, B1,2,4, and C0,0,8, is an isosceles triangle.

Determine which of the following pairs of triangles (A through F) are similar. All linear dimensions are in inches. The similar pairs of triangles are

Is it possible to draw a triangle whose angles measure a. 100, 100, and 60? b. 45, 45, and 90?